TSTP Solution File: GEO241+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 16 15:18:39 EDT 2022
% Result : Theorem 70.99s 14.72s
% Output : Proof 70.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 07:21:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 37
% 0.12/0.34 Launch Gotab with destructive = true
% 70.96/14.69 % SZS output start Proof for theBenchmark.p
% 70.99/14.71 [0] ALPHA_AND : ((! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))) & ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))) & ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))) & ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))) & ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))) & ! [A32_32] : (~distinct_points(A32_32, A32_32)) & ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))) & ! [L36_36] : (~distinct_lines(L36_36, L36_36)) & ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))) & ! [L40_40] : (equally_directed_lines(L40_40, L40_40)) & ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))) & ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))) & ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))) & ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))) & ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))) & ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))) & ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))) & ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))) & ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))) & ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))) & ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))) & ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))) & ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))) & ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))) & ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))) & ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)) & ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))) & ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))) & ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))) & ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))) & ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88))))) & ~! [A89_89, B90_90, L91_91] : ((((incident_point_and_line(A89_89, L91_91) & distinct_points(A89_89, B90_90)) & left_convergent_lines(L91_91, line_connecting(A89_89, B90_90))) => left_apart_point(B90_90, L91_91))))
% 70.99/14.71 -> [1] (! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))) & ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))) & ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))) & ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))) & ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))) & ! [A32_32] : (~distinct_points(A32_32, A32_32)) & ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))) & ! [L36_36] : (~distinct_lines(L36_36, L36_36)) & ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))) & ! [L40_40] : (equally_directed_lines(L40_40, L40_40)) & ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))) & ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))) & ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))) & ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))) & ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))) & ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))) & ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))) & ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))) & ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))) & ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))) & ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))) & ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))) & ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))) & ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))) & ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))) & ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)) & ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))) & ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))) & ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))) & ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))) & ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88))))), ~! [A89_89, B90_90, L91_91] : ((((incident_point_and_line(A89_89, L91_91) & distinct_points(A89_89, B90_90)) & left_convergent_lines(L91_91, line_connecting(A89_89, B90_90))) => left_apart_point(B90_90, L91_91)))
% 70.99/14.71
% 70.99/14.71 [1] ALPHA_AND : (! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))) & ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))) & ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))) & ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))) & ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))) & ! [A32_32] : (~distinct_points(A32_32, A32_32)) & ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))) & ! [L36_36] : (~distinct_lines(L36_36, L36_36)) & ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))) & ! [L40_40] : (equally_directed_lines(L40_40, L40_40)) & ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))) & ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))) & ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))) & ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))) & ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))) & ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))) & ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))) & ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))) & ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))) & ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))) & ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))) & ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))) & ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))) & ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))) & ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))) & ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)) & ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))) & ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))) & ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))) & ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))) & ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88)))))
% 70.99/14.71 -> [2] ! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9)))), ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11)))), ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13)))), ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15))), ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17))), ! [A32_32] : (~distinct_points(A32_32, A32_32)), ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35)))), ! [L36_36] : (~distinct_lines(L36_36, L36_36)), ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39)))), ! [L40_40] : (equally_directed_lines(L40_40, L40_40)), ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43)))), ! [L44_44, M45_45, N46_46] : (((unequally_directed_lines(L44_44, M45_45) & unequally_directed_lines(L44_44, reverse_line(M45_45))) => ((unequally_directed_lines(L44_44, N46_46) & unequally_directed_lines(L44_44, reverse_line(N46_46))) | (unequally_directed_lines(M45_45, N46_46) & unequally_directed_lines(M45_45, reverse_line(N46_46)))))), ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48)))), ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50))))), ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52)))), ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54)))), ! [A55_55, B56_56] : ((((point(A55_55) & point(B56_56)) & distinct_points(A55_55, B56_56)) => line(line_connecting(A55_55, B56_56)))), ! [L57_57, M58_58] : (((((line(L57_57) & line(M58_58)) & unequally_directed_lines(L57_57, M58_58)) & unequally_directed_lines(L57_57, reverse_line(M58_58))) => point(intersection_point(L57_57, M58_58)))), ! [L59_59, A60_60] : (((point(A60_60) & line(L59_59)) => line(parallel_through_point(L59_59, A60_60)))), ! [L61_61] : ((line(L61_61) => line(reverse_line(L61_61)))), ! [A62_62, B63_63] : ((distinct_points(A62_62, B63_63) => (~apart_point_and_line(A62_62, line_connecting(A62_62, B63_63)) & ~apart_point_and_line(B63_63, line_connecting(A62_62, B63_63))))), ! [L64_64, M65_65] : (((unequally_directed_lines(L64_64, M65_65) & unequally_directed_lines(L64_64, reverse_line(M65_65))) => (~apart_point_and_line(intersection_point(L64_64, M65_65), L64_64) & ~apart_point_and_line(intersection_point(L64_64, M65_65), M65_65)))), ! [A66_66, L67_67] : (~apart_point_and_line(A66_66, parallel_through_point(L67_67, A66_66))), ! [L68_68] : (~distinct_lines(L68_68, reverse_line(L68_68))), ! [A69_69, B70_70] : ((distinct_points(A69_69, B70_70) => equally_directed_lines(line_connecting(A69_69, B70_70), reverse_line(line_connecting(B70_70, A69_69))))), ! [A71_71, L72_72] : (equally_directed_lines(parallel_through_point(L72_72, A71_71), L72_72)), ! [A73_73, B74_74, L75_75, M76_76] : (((distinct_points(A73_73, B74_74) & distinct_lines(L75_75, M76_76)) => (((((((left_apart_point(A73_73, L75_75) | left_apart_point(B74_74, L75_75)) | left_apart_point(A73_73, M76_76)) | left_apart_point(B74_74, M76_76)) | left_apart_point(A73_73, reverse_line(L75_75))) | left_apart_point(B74_74, reverse_line(L75_75))) | left_apart_point(A73_73, reverse_line(M76_76))) | left_apart_point(B74_74, reverse_line(M76_76))))), ! [A77_77, B78_78, L79_79] : (((distinct_points(A77_77, B78_78) & left_apart_point(A77_77, L79_79)) => (left_apart_point(B78_78, L79_79) | left_convergent_lines(line_connecting(A77_77, B78_78), L79_79)))), ! [A80_80, B81_81, L82_82] : ((left_apart_point(A80_80, L82_82) => (distinct_points(A80_80, B81_81) | left_apart_point(B81_81, L82_82)))), ! [A83_83, L84_84, M85_85] : (((left_apart_point(A83_83, L84_84) & unequally_directed_lines(L84_84, M85_85)) => (distinct_lines(L84_84, M85_85) | left_apart_point(A83_83, reverse_line(M85_85))))), ! [L86_86, M87_87, N88_88] : ((left_convergent_lines(L86_86, M87_87) => (unequally_directed_lines(M87_87, N88_88) | left_convergent_lines(L86_86, N88_88))))
% 70.99/14.71
% 70.99/14.71 [2] DELTA_NOT_FORALL : ~! [A89_89, B90_90, L91_91] : ((((incident_point_and_line(A89_89, L91_91) & distinct_points(A89_89, B90_90)) & left_convergent_lines(L91_91, line_connecting(A89_89, B90_90))) => left_apart_point(B90_90, L91_91)))
% 70.99/14.71 -> [3] ~(((incident_point_and_line(skolem_A8989, skolem_L9191) & distinct_points(skolem_A8989, skolem_B9090)) & left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))) => left_apart_point(skolem_B9090, skolem_L9191))
% 70.99/14.71
% 70.99/14.71 [3] ALPHA_NOT_IMPLY : ~(((incident_point_and_line(skolem_A8989, skolem_L9191) & distinct_points(skolem_A8989, skolem_B9090)) & left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))) => left_apart_point(skolem_B9090, skolem_L9191))
% 70.99/14.71 -> [4] ((incident_point_and_line(skolem_A8989, skolem_L9191) & distinct_points(skolem_A8989, skolem_B9090)) & left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))), ~left_apart_point(skolem_B9090, skolem_L9191)
% 70.99/14.71
% 70.99/14.71 [4] ALPHA_AND : ((incident_point_and_line(skolem_A8989, skolem_L9191) & distinct_points(skolem_A8989, skolem_B9090)) & left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090)))
% 70.99/14.71 -> [5] (incident_point_and_line(skolem_A8989, skolem_L9191) & distinct_points(skolem_A8989, skolem_B9090)), left_convergent_lines(skolem_L9191, line_connecting(skolem_A8989, skolem_B9090))
% 70.99/14.71
% 70.99/14.71 [5] ALPHA_AND : (incident_point_and_line(skolem_A8989, skolem_L9191) & distinct_points(skolem_A8989, skolem_B9090))
% 70.99/14.71 -> [6] incident_point_and_line(skolem_A8989, skolem_L9191), distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [6] GAMMA_FORALL : ! [X8_8, Y9_9] : ((unequally_directed_opposite_lines(X8_8, Y9_9) <=> unequally_directed_lines(X8_8, reverse_line(Y9_9))))
% 70.99/14.71 -> [7] (unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))) <=> unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [7] BETA_EQUIV : (unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))) <=> unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [8] ~unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))), ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [9] unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))), unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [9] GAMMA_FORALL : ! [X10_10, Y11_11] : ((right_apart_point(X10_10, Y11_11) <=> left_apart_point(X10_10, reverse_line(Y11_11))))
% 70.99/14.71 -> [11] (right_apart_point(X10_1_1, Y11_1_1) <=> left_apart_point(X10_1_1, reverse_line(Y11_1_1)))
% 70.99/14.71
% 70.99/14.71 [11] BETA_EQUIV : (right_apart_point(X10_1_1, Y11_1_1) <=> left_apart_point(X10_1_1, reverse_line(Y11_1_1)))
% 70.99/14.71 -> [14] ~right_apart_point(X10_1_1, Y11_1_1), ~left_apart_point(X10_1_1, reverse_line(Y11_1_1))
% 70.99/14.71 -> [15] right_apart_point(X10_1_1, Y11_1_1), left_apart_point(X10_1_1, reverse_line(Y11_1_1))
% 70.99/14.71
% 70.99/14.71 [15] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 70.99/14.71 -> [20] (right_convergent_lines(X12_2_2, Y13_2_2) <=> left_convergent_lines(X12_2_2, reverse_line(Y13_2_2)))
% 70.99/14.71
% 70.99/14.71 [20] BETA_EQUIV : (right_convergent_lines(X12_2_2, Y13_2_2) <=> left_convergent_lines(X12_2_2, reverse_line(Y13_2_2)))
% 70.99/14.71 -> [24] ~right_convergent_lines(X12_2_2, Y13_2_2), ~left_convergent_lines(X12_2_2, reverse_line(Y13_2_2))
% 70.99/14.71 -> [25] right_convergent_lines(X12_2_2, Y13_2_2), left_convergent_lines(X12_2_2, reverse_line(Y13_2_2))
% 70.99/14.71
% 70.99/14.71 [24] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [39] (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [39] BETA_EQUIV : (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [49] ~equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [50] equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [49] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [62] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [62] GAMMA_FORALL : ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17)))
% 70.99/14.71 -> [76] (equally_directed_opposite_lines(X16_5_4, Y17_5_4) <=> ~unequally_directed_opposite_lines(X16_5_4, Y17_5_4))
% 70.99/14.71
% 70.99/14.71 [76] BETA_EQUIV : (equally_directed_opposite_lines(X16_5_4, Y17_5_4) <=> ~unequally_directed_opposite_lines(X16_5_4, Y17_5_4))
% 70.99/14.71 -> [77] ~equally_directed_opposite_lines(X16_5_4, Y17_5_4), ~~unequally_directed_opposite_lines(X16_5_4, Y17_5_4)
% 70.99/14.71 -> [78] equally_directed_opposite_lines(X16_5_4, Y17_5_4), ~unequally_directed_opposite_lines(X16_5_4, Y17_5_4)
% 70.99/14.71
% 70.99/14.71 [77] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(X16_5_4, Y17_5_4)
% 70.99/14.71 -> [93] unequally_directed_opposite_lines(X16_5_4, Y17_5_4)
% 70.99/14.71
% 70.99/14.71 [93] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 70.99/14.71 -> [106] ~distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [106] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 70.99/14.71 -> [123] (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989)))
% 70.99/14.71
% 70.99/14.71 [123] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989)))
% 70.99/14.71 -> [124] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [125] (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989))
% 70.99/14.71
% 70.99/14.71 [124] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [125] BETA_OR : (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989))
% 70.99/14.71 -> [148] distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71 -> [149] distinct_points(skolem_B9090, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [148] CLOSURE : distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [149] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [178] ~distinct_lines(N39_5_8, N39_5_8)
% 70.99/14.71
% 70.99/14.71 [178] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [201] (distinct_lines(N39_5_8, N39_5_8) => (distinct_lines(N39_5_8, N39_5_8) | distinct_lines(N39_5_8, N39_5_8)))
% 70.99/14.71
% 70.99/14.71 [201] BETA_IMPLY : (distinct_lines(N39_5_8, N39_5_8) => (distinct_lines(N39_5_8, N39_5_8) | distinct_lines(N39_5_8, N39_5_8)))
% 70.99/14.71 -> [203] ~distinct_lines(N39_5_8, N39_5_8)
% 70.99/14.71 -> [204] (distinct_lines(N39_5_8, N39_5_8) | distinct_lines(N39_5_8, N39_5_8))
% 70.99/14.71
% 70.99/14.71 [204] BETA_OR : (distinct_lines(N39_5_8, N39_5_8) | distinct_lines(N39_5_8, N39_5_8))
% 70.99/14.71 -> [217] distinct_lines(N39_5_8, N39_5_8)
% 70.99/14.71 -> [218] distinct_lines(N39_5_8, N39_5_8)
% 70.99/14.71
% 70.99/14.71 [217] CLOSURE : distinct_lines(N39_5_8, N39_5_8)
% 70.99/14.71
% 70.99/14.71 [218] CLOSURE : distinct_lines(N39_5_8, N39_5_8)
% 70.99/14.71
% 70.99/14.71 [243] CLOSURE : equally_directed_lines(L40_5_9, L40_5_9)
% 70.99/14.71
% 70.99/14.71 [78] CLOSURE : ~unequally_directed_opposite_lines(X16_5_4, Y17_5_4)
% 70.99/14.71
% 70.99/14.71 [50] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [25] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [44] (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [44] BETA_EQUIV : (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [45] ~equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [46] equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [45] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [59] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [59] GAMMA_FORALL : ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17)))
% 70.99/14.71 -> [79] (equally_directed_opposite_lines(X16_6_4, Y17_6_4) <=> ~unequally_directed_opposite_lines(X16_6_4, Y17_6_4))
% 70.99/14.71
% 70.99/14.71 [79] BETA_EQUIV : (equally_directed_opposite_lines(X16_6_4, Y17_6_4) <=> ~unequally_directed_opposite_lines(X16_6_4, Y17_6_4))
% 70.99/14.71 -> [80] ~equally_directed_opposite_lines(X16_6_4, Y17_6_4), ~~unequally_directed_opposite_lines(X16_6_4, Y17_6_4)
% 70.99/14.71 -> [81] equally_directed_opposite_lines(X16_6_4, Y17_6_4), ~unequally_directed_opposite_lines(X16_6_4, Y17_6_4)
% 70.99/14.71
% 70.99/14.71 [80] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(X16_6_4, Y17_6_4)
% 70.99/14.71 -> [103] unequally_directed_opposite_lines(X16_6_4, Y17_6_4)
% 70.99/14.71
% 70.99/14.71 [103] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 70.99/14.71 -> [119] ~distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [119] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 70.99/14.71 -> [135] (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71
% 70.99/14.71 [135] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71 -> [136] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [137] (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71
% 70.99/14.71 [136] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [137] BETA_OR : (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71 -> [155] distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [156] distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [156] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [155] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [194] ~distinct_lines(N39_7_8, N39_7_8)
% 70.99/14.71
% 70.99/14.71 [194] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [249] (distinct_lines(N39_7_8, N39_7_8) => (distinct_lines(N39_7_8, N39_7_8) | distinct_lines(N39_7_8, N39_7_8)))
% 70.99/14.71
% 70.99/14.71 [249] BETA_IMPLY : (distinct_lines(N39_7_8, N39_7_8) => (distinct_lines(N39_7_8, N39_7_8) | distinct_lines(N39_7_8, N39_7_8)))
% 70.99/14.71 -> [250] ~distinct_lines(N39_7_8, N39_7_8)
% 70.99/14.71 -> [251] (distinct_lines(N39_7_8, N39_7_8) | distinct_lines(N39_7_8, N39_7_8))
% 70.99/14.71
% 70.99/14.71 [250] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 70.99/14.71 -> [285] equally_directed_lines(L40_7_9, L40_7_9)
% 70.99/14.71
% 70.99/14.71 [285] CLOSURE : equally_directed_lines(L40_7_9, L40_7_9)
% 70.99/14.71
% 70.99/14.71 [251] BETA_OR : (distinct_lines(N39_7_8, N39_7_8) | distinct_lines(N39_7_8, N39_7_8))
% 70.99/14.71 -> [294] distinct_lines(N39_7_8, N39_7_8)
% 70.99/14.71 -> [295] distinct_lines(N39_7_8, N39_7_8)
% 70.99/14.71
% 70.99/14.71 [295] CLOSURE : distinct_lines(N39_7_8, N39_7_8)
% 70.99/14.71
% 70.99/14.71 [294] CLOSURE : distinct_lines(N39_7_8, N39_7_8)
% 70.99/14.71
% 70.99/14.71 [81] CLOSURE : ~unequally_directed_opposite_lines(X16_6_4, Y17_6_4)
% 70.99/14.71
% 70.99/14.71 [46] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [14] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 70.99/14.71 -> [21] (right_convergent_lines(X12_3_2, Y13_3_2) <=> left_convergent_lines(X12_3_2, reverse_line(Y13_3_2)))
% 70.99/14.71
% 70.99/14.71 [21] BETA_EQUIV : (right_convergent_lines(X12_3_2, Y13_3_2) <=> left_convergent_lines(X12_3_2, reverse_line(Y13_3_2)))
% 70.99/14.71 -> [26] ~right_convergent_lines(X12_3_2, Y13_3_2), ~left_convergent_lines(X12_3_2, reverse_line(Y13_3_2))
% 70.99/14.71 -> [27] right_convergent_lines(X12_3_2, Y13_3_2), left_convergent_lines(X12_3_2, reverse_line(Y13_3_2))
% 70.99/14.71
% 70.99/14.71 [27] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [47] (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [47] BETA_EQUIV : (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [51] ~equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [52] equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [51] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [56] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [56] GAMMA_FORALL : ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17)))
% 70.99/14.71 -> [69] (equally_directed_opposite_lines(X16_3_4, Y17_3_4) <=> ~unequally_directed_opposite_lines(X16_3_4, Y17_3_4))
% 70.99/14.71
% 70.99/14.71 [69] BETA_EQUIV : (equally_directed_opposite_lines(X16_3_4, Y17_3_4) <=> ~unequally_directed_opposite_lines(X16_3_4, Y17_3_4))
% 70.99/14.71 -> [70] ~equally_directed_opposite_lines(X16_3_4, Y17_3_4), ~~unequally_directed_opposite_lines(X16_3_4, Y17_3_4)
% 70.99/14.71 -> [71] equally_directed_opposite_lines(X16_3_4, Y17_3_4), ~unequally_directed_opposite_lines(X16_3_4, Y17_3_4)
% 70.99/14.71
% 70.99/14.71 [70] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(X16_3_4, Y17_3_4)
% 70.99/14.71 -> [89] unequally_directed_opposite_lines(X16_3_4, Y17_3_4)
% 70.99/14.71
% 70.99/14.71 [89] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 70.99/14.71 -> [97] ~distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [97] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 70.99/14.71 -> [120] (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71
% 70.99/14.71 [120] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71 -> [121] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [122] (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71
% 70.99/14.71 [121] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [122] BETA_OR : (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71 -> [150] distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [151] distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [151] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [150] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [174] ~distinct_lines(M38_4_8, M38_4_8)
% 70.99/14.71
% 70.99/14.71 [174] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [191] (distinct_lines(M38_4_8, M38_4_8) => (distinct_lines(M38_4_8, M38_4_8) | distinct_lines(M38_4_8, M38_4_8)))
% 70.99/14.71
% 70.99/14.71 [191] BETA_IMPLY : (distinct_lines(M38_4_8, M38_4_8) => (distinct_lines(M38_4_8, M38_4_8) | distinct_lines(M38_4_8, M38_4_8)))
% 70.99/14.71 -> [192] ~distinct_lines(M38_4_8, M38_4_8)
% 70.99/14.71 -> [193] (distinct_lines(M38_4_8, M38_4_8) | distinct_lines(M38_4_8, M38_4_8))
% 70.99/14.71
% 70.99/14.71 [192] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 70.99/14.71 -> [219] equally_directed_lines(L40_4_9, L40_4_9)
% 70.99/14.71
% 70.99/14.71 [219] CLOSURE : equally_directed_lines(L40_4_9, L40_4_9)
% 70.99/14.71
% 70.99/14.71 [193] BETA_OR : (distinct_lines(M38_4_8, M38_4_8) | distinct_lines(M38_4_8, M38_4_8))
% 70.99/14.71 -> [292] distinct_lines(M38_4_8, M38_4_8)
% 70.99/14.71 -> [293] distinct_lines(M38_4_8, M38_4_8)
% 70.99/14.71
% 70.99/14.71 [292] CLOSURE : distinct_lines(M38_4_8, M38_4_8)
% 70.99/14.71
% 70.99/14.71 [293] CLOSURE : distinct_lines(M38_4_8, M38_4_8)
% 70.99/14.71
% 70.99/14.71 [71] CLOSURE : ~unequally_directed_opposite_lines(X16_3_4, Y17_3_4)
% 70.99/14.71
% 70.99/14.71 [52] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [38] BETA_EQUIV : (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [387] ~equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [388] equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [387] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [399] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [399] GAMMA_FORALL : ! [X16_16, Y17_17] : ((equally_directed_opposite_lines(X16_16, Y17_17) <=> ~unequally_directed_opposite_lines(X16_16, Y17_17)))
% 70.99/14.71 -> [406] (equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4))
% 70.99/14.71
% 70.99/14.71 [406] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4))
% 70.99/14.71 -> [407] ~equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 70.99/14.71 -> [408] equally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4), ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 70.99/14.71
% 70.99/14.71 [408] CLOSURE : ~unequally_directed_opposite_lines(reverse_line(Y17_8_4), Y17_8_4)
% 70.99/14.71
% 70.99/14.71 [425] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71 -> [526] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [527] (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71
% 70.99/14.71 [526] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [527] BETA_OR : (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71 -> [562] distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [563] distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [563] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [562] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [572] ~distinct_lines(M38_10_8, M38_10_8)
% 70.99/14.71
% 70.99/14.71 [572] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [573] (distinct_lines(M38_10_8, M38_10_8) => (distinct_lines(M38_10_8, M38_10_8) | distinct_lines(M38_10_8, M38_10_8)))
% 70.99/14.71
% 70.99/14.71 [573] BETA_IMPLY : (distinct_lines(M38_10_8, M38_10_8) => (distinct_lines(M38_10_8, M38_10_8) | distinct_lines(M38_10_8, M38_10_8)))
% 70.99/14.71 -> [574] ~distinct_lines(M38_10_8, M38_10_8)
% 70.99/14.71 -> [575] (distinct_lines(M38_10_8, M38_10_8) | distinct_lines(M38_10_8, M38_10_8))
% 70.99/14.71
% 70.99/14.71 [575] BETA_OR : (distinct_lines(M38_10_8, M38_10_8) | distinct_lines(M38_10_8, M38_10_8))
% 70.99/14.71 -> [576] distinct_lines(M38_10_8, M38_10_8)
% 70.99/14.71 -> [577] distinct_lines(M38_10_8, M38_10_8)
% 70.99/14.71
% 70.99/14.71 [576] CLOSURE : distinct_lines(M38_10_8, M38_10_8)
% 70.99/14.71
% 70.99/14.71 [577] CLOSURE : distinct_lines(M38_10_8, M38_10_8)
% 70.99/14.71
% 70.99/14.71 [578] CLOSURE : equally_directed_lines(L40_10_9, L40_10_9)
% 70.99/14.71
% 70.99/14.71 [388] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [10] BETA_EQUIV : (right_apart_point(X10_0_1, Y11_0_1) <=> left_apart_point(X10_0_1, reverse_line(Y11_0_1)))
% 70.99/14.71 -> [2071] ~right_apart_point(X10_0_1, Y11_0_1), ~left_apart_point(X10_0_1, reverse_line(Y11_0_1))
% 70.99/14.71 -> [2072] right_apart_point(X10_0_1, Y11_0_1), left_apart_point(X10_0_1, reverse_line(Y11_0_1))
% 70.99/14.71
% 70.99/14.71 [2071] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 70.99/14.71 -> [2073] (right_convergent_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) <=> left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71
% 70.99/14.71 [2073] BETA_EQUIV : (right_convergent_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) <=> left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [2075] ~right_convergent_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)), ~left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71 -> [2076] right_convergent_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)), left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [2076] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [2082] (equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)) <=> ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 70.99/14.71
% 70.99/14.71 [2082] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)) <=> ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)))
% 70.99/14.71 -> [2085] ~equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)), ~~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 70.99/14.71 -> [2086] equally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4)), ~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 70.99/14.71
% 70.99/14.71 [2085] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 70.99/14.71 -> [2093] unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 70.99/14.71
% 70.99/14.71 [2093] CLOSURE : unequally_directed_lines(reverse_line(Y17_14_4), reverse_line(Y17_14_4))
% 70.99/14.71
% 70.99/14.71 [2094] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4))
% 70.99/14.71 -> [3073] ~equally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 70.99/14.71 -> [3074] equally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4), ~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 70.99/14.71
% 70.99/14.71 [3073] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 70.99/14.71 -> [3075] unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 70.99/14.71
% 70.99/14.71 [3075] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_14_4), Y17_14_4)
% 70.99/14.71
% 70.99/14.71 [3074] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 70.99/14.71 -> [3076] ~distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3076] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 70.99/14.71 -> [3082] (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71
% 70.99/14.71 [3082] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71 -> [3085] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [3086] (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71
% 70.99/14.71 [3085] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3086] BETA_OR : (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71 -> [3117] distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [3118] distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3118] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3117] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [3119] ~distinct_lines(L37_33_8, L37_33_8)
% 70.99/14.71
% 70.99/14.71 [3119] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [3122] (distinct_lines(L37_33_8, L37_33_8) => (distinct_lines(L37_33_8, L37_33_8) | distinct_lines(L37_33_8, L37_33_8)))
% 70.99/14.71
% 70.99/14.71 [3122] BETA_IMPLY : (distinct_lines(L37_33_8, L37_33_8) => (distinct_lines(L37_33_8, L37_33_8) | distinct_lines(L37_33_8, L37_33_8)))
% 70.99/14.71 -> [3124] ~distinct_lines(L37_33_8, L37_33_8)
% 70.99/14.71 -> [3125] (distinct_lines(L37_33_8, L37_33_8) | distinct_lines(L37_33_8, L37_33_8))
% 70.99/14.71
% 70.99/14.71 [3125] BETA_OR : (distinct_lines(L37_33_8, L37_33_8) | distinct_lines(L37_33_8, L37_33_8))
% 70.99/14.71 -> [3133] distinct_lines(L37_33_8, L37_33_8)
% 70.99/14.71 -> [3134] distinct_lines(L37_33_8, L37_33_8)
% 70.99/14.71
% 70.99/14.71 [3134] CLOSURE : distinct_lines(L37_33_8, L37_33_8)
% 70.99/14.71
% 70.99/14.71 [3133] CLOSURE : distinct_lines(L37_33_8, L37_33_8)
% 70.99/14.71
% 70.99/14.71 [3124] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 70.99/14.71 -> [3140] equally_directed_lines(L40_33_9, L40_33_9)
% 70.99/14.71
% 70.99/14.71 [3140] GAMMA_FORALL : ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43))))
% 70.99/14.71 -> [3148] (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) => (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))))
% 70.99/14.71
% 70.99/14.71 [3148] BETA_IMPLY : (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) => (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))))
% 70.99/14.71 -> [3149] ~unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71 -> [3150] (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3150] BETA_OR : (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)))
% 70.99/14.71 -> [3151] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71 -> [3152] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71
% 70.99/14.71 [3152] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71
% 70.99/14.71 [3151] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71
% 70.99/14.71 [3153] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11))))) => ((unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))) | (unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(reverse_line(N46_55_11))))))
% 70.99/14.71 -> [3225] ~(unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71 -> [3226] ((unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))) | (unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71
% 70.99/14.71 [3225] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71 -> [3227] ~unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71 -> [3228] ~unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71
% 70.99/14.71 [3227] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 70.99/14.71 -> [3236] (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71
% 70.99/14.71 [3236] BETA_OR : (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71 -> [3239] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71 -> [3240] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3239] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71
% 70.99/14.71 [3240] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3235] BETA_OR : (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11)))) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))
% 70.99/14.71 -> [3270] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71 -> [3271] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71
% 70.99/14.71 [3270] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71
% 70.99/14.71 [3271] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 70.99/14.71 -> [3287] ((unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))) => (left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) | left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))))
% 70.99/14.71
% 70.99/14.71 [3287] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))) => (left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) | left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))))
% 70.99/14.71 -> [3289] ~(unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))))
% 70.99/14.71 -> [3290] (left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) | left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))))
% 70.99/14.71
% 70.99/14.71 [3290] BETA_OR : (left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) | left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))))
% 70.99/14.71 -> [3293] left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71 -> [3294] left_convergent_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))
% 70.99/14.71
% 70.99/14.71 [3293] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3295] ~(left_apart_point(A51_70_14, L52_70_14) | left_apart_point(A51_70_14, reverse_line(L52_70_14)))
% 70.99/14.71
% 70.99/14.71 [3295] ALPHA_NOT_OR : ~(left_apart_point(A51_70_14, L52_70_14) | left_apart_point(A51_70_14, reverse_line(L52_70_14)))
% 70.99/14.71 -> [3297] ~left_apart_point(A51_70_14, L52_70_14), ~left_apart_point(A51_70_14, reverse_line(L52_70_14))
% 70.99/14.71
% 70.99/14.71 [3297] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3299] ~(left_convergent_lines(L53_28_15, M54_28_15) | left_convergent_lines(L53_28_15, reverse_line(M54_28_15)))
% 70.99/14.71
% 70.99/14.71 [3299] ALPHA_NOT_OR : ~(left_convergent_lines(L53_28_15, M54_28_15) | left_convergent_lines(L53_28_15, reverse_line(M54_28_15)))
% 70.99/14.71 -> [3301] ~left_convergent_lines(L53_28_15, M54_28_15), ~left_convergent_lines(L53_28_15, reverse_line(M54_28_15))
% 70.99/14.71
% 70.99/14.71 [3301] CLOSURE : ~left_convergent_lines(L53_28_15, M54_28_15)
% 70.99/14.71
% 70.99/14.71 [3294] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3296] ~(left_apart_point(A51_71_14, L52_71_14) | left_apart_point(A51_71_14, reverse_line(L52_71_14)))
% 70.99/14.71
% 70.99/14.71 [3296] ALPHA_NOT_OR : ~(left_apart_point(A51_71_14, L52_71_14) | left_apart_point(A51_71_14, reverse_line(L52_71_14)))
% 70.99/14.71 -> [3298] ~left_apart_point(A51_71_14, L52_71_14), ~left_apart_point(A51_71_14, reverse_line(L52_71_14))
% 70.99/14.71
% 70.99/14.71 [3298] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3300] ~(left_convergent_lines(L53_29_15, M54_29_15) | left_convergent_lines(L53_29_15, reverse_line(M54_29_15)))
% 70.99/14.71
% 70.99/14.71 [3300] ALPHA_NOT_OR : ~(left_convergent_lines(L53_29_15, M54_29_15) | left_convergent_lines(L53_29_15, reverse_line(M54_29_15)))
% 70.99/14.71 -> [3302] ~left_convergent_lines(L53_29_15, M54_29_15), ~left_convergent_lines(L53_29_15, reverse_line(M54_29_15))
% 70.99/14.71
% 70.99/14.71 [3302] CLOSURE : ~left_convergent_lines(L53_29_15, M54_29_15)
% 70.99/14.71
% 70.99/14.71 [3289] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))))
% 70.99/14.71 -> [3291] ~unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71 -> [3292] ~unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11))))))
% 70.99/14.71
% 70.99/14.71 [3291] CLOSURE : ~unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71
% 70.99/14.71 [3292] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3305] ~(left_apart_point(A51_72_14, L52_72_14) | left_apart_point(A51_72_14, reverse_line(L52_72_14)))
% 70.99/14.71
% 70.99/14.71 [3305] ALPHA_NOT_OR : ~(left_apart_point(A51_72_14, L52_72_14) | left_apart_point(A51_72_14, reverse_line(L52_72_14)))
% 70.99/14.71 -> [3306] ~left_apart_point(A51_72_14, L52_72_14), ~left_apart_point(A51_72_14, reverse_line(L52_72_14))
% 70.99/14.71
% 70.99/14.71 [3306] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3317] ~(left_convergent_lines(L53_30_15, M54_30_15) | left_convergent_lines(L53_30_15, reverse_line(M54_30_15)))
% 70.99/14.71
% 70.99/14.71 [3317] ALPHA_NOT_OR : ~(left_convergent_lines(L53_30_15, M54_30_15) | left_convergent_lines(L53_30_15, reverse_line(M54_30_15)))
% 70.99/14.71 -> [3319] ~left_convergent_lines(L53_30_15, M54_30_15), ~left_convergent_lines(L53_30_15, reverse_line(M54_30_15))
% 70.99/14.71
% 70.99/14.71 [3319] CLOSURE : ~left_convergent_lines(L53_30_15, M54_30_15)
% 70.99/14.71
% 70.99/14.71 [3226] BETA_OR : ((unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))) | (unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(reverse_line(N46_55_11)))))
% 70.99/14.71 -> [3327] (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71 -> [3328] (unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71
% 70.99/14.71 [3327] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71 -> [3329] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)), unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3329] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3328] ALPHA_AND : (unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(N46_55_11)) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71 -> [3330] unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(N46_55_11)), unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3330] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 70.99/14.71 -> [3331] (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71
% 70.99/14.71 [3331] BETA_OR : (unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11)) | unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11))))
% 70.99/14.71 -> [3332] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71 -> [3333] unequally_directed_lines(reverse_line(N46_55_11), reverse_line(reverse_line(N46_55_11)))
% 70.99/14.71
% 70.99/14.71 [3332] CLOSURE : unequally_directed_lines(reverse_line(N46_55_11), reverse_line(N46_55_11))
% 70.99/14.71
% 70.99/14.71 [3333] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 70.99/14.71 -> [3344] ((unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))) => (left_convergent_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) | left_convergent_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))))
% 70.99/14.71
% 70.99/14.71 [3344] BETA_IMPLY : ((unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))) => (left_convergent_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) | left_convergent_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))))
% 70.99/14.71 -> [3345] ~(unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13)))
% 70.99/14.71 -> [3346] (left_convergent_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) | left_convergent_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13)))
% 70.99/14.71
% 70.99/14.71 [3345] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) & unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13)))
% 70.99/14.71 -> [3347] ~unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13)
% 70.99/14.71 -> [3348] ~unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))
% 70.99/14.71
% 70.99/14.71 [3347] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13)
% 70.99/14.71
% 70.99/14.71 [3348] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))
% 70.99/14.71
% 70.99/14.71 [3346] BETA_OR : (left_convergent_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13) | left_convergent_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13)))
% 70.99/14.71 -> [3349] left_convergent_lines(reverse_line(reverse_line(N46_55_11)), M50_27_13)
% 70.99/14.71 -> [3350] left_convergent_lines(reverse_line(reverse_line(N46_55_11)), reverse_line(M50_27_13))
% 70.99/14.71
% 70.99/14.71 [3349] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3352] ~(left_apart_point(A51_75_14, L52_75_14) | left_apart_point(A51_75_14, reverse_line(L52_75_14)))
% 70.99/14.71
% 70.99/14.71 [3352] ALPHA_NOT_OR : ~(left_apart_point(A51_75_14, L52_75_14) | left_apart_point(A51_75_14, reverse_line(L52_75_14)))
% 70.99/14.71 -> [3355] ~left_apart_point(A51_75_14, L52_75_14), ~left_apart_point(A51_75_14, reverse_line(L52_75_14))
% 70.99/14.71
% 70.99/14.71 [3355] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3369] ~(left_convergent_lines(L53_32_15, M54_32_15) | left_convergent_lines(L53_32_15, reverse_line(M54_32_15)))
% 70.99/14.71
% 70.99/14.71 [3369] ALPHA_NOT_OR : ~(left_convergent_lines(L53_32_15, M54_32_15) | left_convergent_lines(L53_32_15, reverse_line(M54_32_15)))
% 70.99/14.71 -> [3370] ~left_convergent_lines(L53_32_15, M54_32_15), ~left_convergent_lines(L53_32_15, reverse_line(M54_32_15))
% 70.99/14.71
% 70.99/14.71 [3370] CLOSURE : ~left_convergent_lines(L53_32_15, M54_32_15)
% 70.99/14.71
% 70.99/14.71 [3350] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3351] ~(left_apart_point(A51_74_14, L52_74_14) | left_apart_point(A51_74_14, reverse_line(L52_74_14)))
% 70.99/14.71
% 70.99/14.71 [3351] ALPHA_NOT_OR : ~(left_apart_point(A51_74_14, L52_74_14) | left_apart_point(A51_74_14, reverse_line(L52_74_14)))
% 70.99/14.71 -> [3354] ~left_apart_point(A51_74_14, L52_74_14), ~left_apart_point(A51_74_14, reverse_line(L52_74_14))
% 70.99/14.71
% 70.99/14.71 [3354] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3371] ~(left_convergent_lines(L53_33_15, M54_33_15) | left_convergent_lines(L53_33_15, reverse_line(M54_33_15)))
% 70.99/14.71
% 70.99/14.71 [3371] ALPHA_NOT_OR : ~(left_convergent_lines(L53_33_15, M54_33_15) | left_convergent_lines(L53_33_15, reverse_line(M54_33_15)))
% 70.99/14.71 -> [3372] ~left_convergent_lines(L53_33_15, M54_33_15), ~left_convergent_lines(L53_33_15, reverse_line(M54_33_15))
% 70.99/14.71
% 70.99/14.71 [3372] CLOSURE : ~left_convergent_lines(L53_33_15, M54_33_15)
% 70.99/14.71
% 70.99/14.71 [2075] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [2079] (equally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) <=> ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [2079] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) <=> ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)))
% 70.99/14.71 -> [2080] ~equally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)), ~~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [2081] equally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)), ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [2080] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [2091] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [2091] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [2098] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4))
% 70.99/14.71 -> [3586] ~equally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4)
% 70.99/14.71 -> [3587] equally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4), ~unequally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4)
% 70.99/14.71
% 70.99/14.71 [3587] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 70.99/14.71 -> [3589] ~distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [3589] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 70.99/14.71 -> [3590] (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989)))
% 70.99/14.71
% 70.99/14.71 [3590] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989)))
% 70.99/14.71 -> [3591] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [3592] (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989))
% 70.99/14.71
% 70.99/14.71 [3591] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3592] BETA_OR : (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989))
% 70.99/14.71 -> [3602] distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71 -> [3603] distinct_points(skolem_B9090, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [3602] CLOSURE : distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [3603] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [3608] ~distinct_lines(N39_35_8, N39_35_8)
% 70.99/14.71
% 70.99/14.71 [3608] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [3609] (distinct_lines(N39_35_8, N39_35_8) => (distinct_lines(N39_35_8, N39_35_8) | distinct_lines(N39_35_8, N39_35_8)))
% 70.99/14.71
% 70.99/14.71 [3609] BETA_IMPLY : (distinct_lines(N39_35_8, N39_35_8) => (distinct_lines(N39_35_8, N39_35_8) | distinct_lines(N39_35_8, N39_35_8)))
% 70.99/14.71 -> [3612] ~distinct_lines(N39_35_8, N39_35_8)
% 70.99/14.71 -> [3613] (distinct_lines(N39_35_8, N39_35_8) | distinct_lines(N39_35_8, N39_35_8))
% 70.99/14.71
% 70.99/14.71 [3613] BETA_OR : (distinct_lines(N39_35_8, N39_35_8) | distinct_lines(N39_35_8, N39_35_8))
% 70.99/14.71 -> [3614] distinct_lines(N39_35_8, N39_35_8)
% 70.99/14.71 -> [3615] distinct_lines(N39_35_8, N39_35_8)
% 70.99/14.71
% 70.99/14.71 [3615] CLOSURE : distinct_lines(N39_35_8, N39_35_8)
% 70.99/14.71
% 70.99/14.71 [3614] CLOSURE : distinct_lines(N39_35_8, N39_35_8)
% 70.99/14.71
% 70.99/14.71 [3617] BETA_IMPLY : (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) => (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) | unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3832] ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [3833] (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) | unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3833] BETA_OR : (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) | unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)))
% 70.99/14.71 -> [3834] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [3835] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [3834] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [3835] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [3836] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))) => ((unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))) | (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))))
% 70.99/14.71 -> [3888] ~(unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3889] ((unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))) | (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))))
% 70.99/14.71
% 70.99/14.71 [3888] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3890] ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [3891] ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3891] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 70.99/14.71 -> [3899] (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) | unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71
% 70.99/14.71 [3899] BETA_OR : (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) | unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3902] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [3903] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3902] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [3903] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3898] BETA_OR : (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) | unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3906] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71 -> [3907] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3906] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4))
% 70.99/14.71
% 70.99/14.71 [3907] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 70.99/14.71 -> [3908] ((unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4))))) => (left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) | left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4))))))
% 70.99/14.71
% 70.99/14.71 [3908] BETA_IMPLY : ((unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4))))) => (left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) | left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4))))))
% 70.99/14.71 -> [3909] ~(unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4)))))
% 70.99/14.71 -> [3910] (left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) | left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4)))))
% 70.99/14.71
% 70.99/14.71 [3909] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4)))))
% 70.99/14.71 -> [3911] ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71 -> [3912] ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71
% 70.99/14.71 [3911] CLOSURE : ~unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3912] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3919] ~(left_apart_point(A51_119_14, L52_119_14) | left_apart_point(A51_119_14, reverse_line(L52_119_14)))
% 70.99/14.71
% 70.99/14.71 [3919] ALPHA_NOT_OR : ~(left_apart_point(A51_119_14, L52_119_14) | left_apart_point(A51_119_14, reverse_line(L52_119_14)))
% 70.99/14.71 -> [3921] ~left_apart_point(A51_119_14, L52_119_14), ~left_apart_point(A51_119_14, reverse_line(L52_119_14))
% 70.99/14.71
% 70.99/14.71 [3921] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3924] ~(left_convergent_lines(L53_54_15, M54_54_15) | left_convergent_lines(L53_54_15, reverse_line(M54_54_15)))
% 70.99/14.71
% 70.99/14.71 [3924] ALPHA_NOT_OR : ~(left_convergent_lines(L53_54_15, M54_54_15) | left_convergent_lines(L53_54_15, reverse_line(M54_54_15)))
% 70.99/14.71 -> [3926] ~left_convergent_lines(L53_54_15, M54_54_15), ~left_convergent_lines(L53_54_15, reverse_line(M54_54_15))
% 70.99/14.71
% 70.99/14.71 [3926] CLOSURE : ~left_convergent_lines(L53_54_15, M54_54_15)
% 70.99/14.71
% 70.99/14.71 [3910] BETA_OR : (left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))) | left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4)))))
% 70.99/14.71 -> [3927] left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71 -> [3928] left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71
% 70.99/14.71 [3927] CLOSURE : left_convergent_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3928] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3929] ~(left_apart_point(A51_121_14, L52_121_14) | left_apart_point(A51_121_14, reverse_line(L52_121_14)))
% 70.99/14.71
% 70.99/14.71 [3929] ALPHA_NOT_OR : ~(left_apart_point(A51_121_14, L52_121_14) | left_apart_point(A51_121_14, reverse_line(L52_121_14)))
% 70.99/14.71 -> [3930] ~left_apart_point(A51_121_14, L52_121_14), ~left_apart_point(A51_121_14, reverse_line(L52_121_14))
% 70.99/14.71
% 70.99/14.71 [3930] GAMMA_FORALL : ! [L53_53, M54_54] : (~(left_convergent_lines(L53_53, M54_54) | left_convergent_lines(L53_53, reverse_line(M54_54))))
% 70.99/14.71 -> [3931] ~(left_convergent_lines(L53_55_15, M54_55_15) | left_convergent_lines(L53_55_15, reverse_line(M54_55_15)))
% 70.99/14.71
% 70.99/14.71 [3931] ALPHA_NOT_OR : ~(left_convergent_lines(L53_55_15, M54_55_15) | left_convergent_lines(L53_55_15, reverse_line(M54_55_15)))
% 70.99/14.71 -> [3932] ~left_convergent_lines(L53_55_15, M54_55_15), ~left_convergent_lines(L53_55_15, reverse_line(M54_55_15))
% 70.99/14.71
% 70.99/14.71 [3932] CLOSURE : ~left_convergent_lines(L53_55_15, M54_55_15)
% 70.99/14.71
% 70.99/14.71 [3889] BETA_OR : ((unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))) | (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))))
% 70.99/14.71 -> [3933] (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3934] (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71
% 70.99/14.71 [3933] ALPHA_AND : (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3935] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)), unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3935] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3934] ALPHA_AND : (unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)) & unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4))))
% 70.99/14.71 -> [3936] unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(Y17_15_4)), unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3936] CLOSURE : unequally_directed_lines(reverse_line(Y17_15_4), reverse_line(reverse_line(Y17_15_4)))
% 70.99/14.71
% 70.99/14.71 [3588] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_15_4), Y17_15_4)
% 70.99/14.71
% 70.99/14.71 [2072] GAMMA_FORALL : ! [X12_12, Y13_13] : ((right_convergent_lines(X12_12, Y13_13) <=> left_convergent_lines(X12_12, reverse_line(Y13_13))))
% 70.99/14.71 -> [2074] (right_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), Y13_5_2) <=> left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [2074] BETA_EQUIV : (right_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), Y13_5_2) <=> left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)))
% 70.99/14.71 -> [2077] ~right_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), Y13_5_2), ~left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2))
% 70.99/14.71 -> [2078] right_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), Y13_5_2), left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2))
% 70.99/14.71
% 70.99/14.71 [2078] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [2084] (equally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4)) <=> ~unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4)))
% 70.99/14.71
% 70.99/14.71 [2084] BETA_EQUIV : (equally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4)) <=> ~unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4)))
% 70.99/14.71 -> [2089] ~equally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4)), ~~unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4))
% 70.99/14.71 -> [2090] equally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4)), ~unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4))
% 70.99/14.71
% 70.99/14.71 [2089] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4))
% 70.99/14.71 -> [2095] unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4))
% 70.99/14.71
% 70.99/14.71 [2095] CLOSURE : unequally_directed_lines(reverse_line(Y17_16_4), reverse_line(Y17_16_4))
% 70.99/14.71
% 70.99/14.71 [2101] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4) <=> ~unequally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4))
% 70.99/14.71 -> [3004] ~equally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4), ~~unequally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4)
% 70.99/14.71 -> [3005] equally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4), ~unequally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4)
% 70.99/14.71
% 70.99/14.71 [3004] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4)
% 70.99/14.71 -> [3010] unequally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4)
% 70.99/14.71
% 70.99/14.71 [3010] CLOSURE : unequally_directed_opposite_lines(reverse_line(Y17_16_4), Y17_16_4)
% 70.99/14.71
% 70.99/14.71 [3005] GAMMA_FORALL : ! [A32_32] : (~distinct_points(A32_32, A32_32))
% 70.99/14.71 -> [3009] ~distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3009] GAMMA_FORALL : ! [A33_33, B34_34, C35_35] : ((distinct_points(A33_33, B34_34) => (distinct_points(A33_33, C35_35) | distinct_points(B34_34, C35_35))))
% 70.99/14.71 -> [3013] (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71
% 70.99/14.71 [3013] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090)))
% 70.99/14.71 -> [3014] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [3015] (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71
% 70.99/14.71 [3014] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3015] BETA_OR : (distinct_points(skolem_A8989, skolem_B9090) | distinct_points(skolem_B9090, skolem_B9090))
% 70.99/14.71 -> [3018] distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [3019] distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3019] CLOSURE : distinct_points(skolem_B9090, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3018] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [3032] ~distinct_lines(N39_32_8, N39_32_8)
% 70.99/14.71
% 70.99/14.71 [3032] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [3033] (distinct_lines(N39_32_8, N39_32_8) => (distinct_lines(N39_32_8, N39_32_8) | distinct_lines(N39_32_8, N39_32_8)))
% 70.99/14.71
% 70.99/14.71 [3033] BETA_IMPLY : (distinct_lines(N39_32_8, N39_32_8) => (distinct_lines(N39_32_8, N39_32_8) | distinct_lines(N39_32_8, N39_32_8)))
% 70.99/14.71 -> [3034] ~distinct_lines(N39_32_8, N39_32_8)
% 70.99/14.71 -> [3035] (distinct_lines(N39_32_8, N39_32_8) | distinct_lines(N39_32_8, N39_32_8))
% 70.99/14.71
% 70.99/14.71 [3035] BETA_OR : (distinct_lines(N39_32_8, N39_32_8) | distinct_lines(N39_32_8, N39_32_8))
% 70.99/14.71 -> [3036] distinct_lines(N39_32_8, N39_32_8)
% 70.99/14.71 -> [3037] distinct_lines(N39_32_8, N39_32_8)
% 70.99/14.71
% 70.99/14.71 [3037] CLOSURE : distinct_lines(N39_32_8, N39_32_8)
% 70.99/14.71
% 70.99/14.71 [3036] CLOSURE : distinct_lines(N39_32_8, N39_32_8)
% 70.99/14.71
% 70.99/14.71 [3034] GAMMA_FORALL : ! [L40_40] : (equally_directed_lines(L40_40, L40_40))
% 70.99/14.71 -> [3038] equally_directed_lines(L40_32_9, L40_32_9)
% 70.99/14.71
% 70.99/14.71 [3038] GAMMA_FORALL : ! [L41_41, M42_42, N43_43] : ((unequally_directed_lines(L41_41, M42_42) => (unequally_directed_lines(L41_41, N43_43) | unequally_directed_lines(M42_42, N43_43))))
% 70.99/14.71 -> [3039] (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) => (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))))
% 70.99/14.71
% 70.99/14.71 [3039] BETA_IMPLY : (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) => (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))))
% 70.99/14.71 -> [3040] ~unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71 -> [3041] (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3041] BETA_OR : (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)))
% 70.99/14.71 -> [3042] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71 -> [3043] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71
% 70.99/14.71 [3042] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71
% 70.99/14.71 [3043] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71
% 70.99/14.71 [3044] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))) => ((unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))) | (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))))
% 70.99/14.71 -> [3131] ~(unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3132] ((unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))) | (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))))
% 70.99/14.71
% 70.99/14.71 [3131] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3138] ~unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71 -> [3139] ~unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3139] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 70.99/14.71 -> [3142] (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71
% 70.99/14.71 [3142] BETA_OR : (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3143] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71 -> [3144] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3143] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71
% 70.99/14.71 [3144] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3145] BETA_OR : (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) | unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3179] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71 -> [3180] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3179] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11))
% 70.99/14.71
% 70.99/14.71 [3180] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 70.99/14.71 -> [3183] ((unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11))))) => (left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) | left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11))))))
% 70.99/14.71
% 70.99/14.71 [3183] BETA_IMPLY : ((unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11))))) => (left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) | left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11))))))
% 70.99/14.71 -> [3184] ~(unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11)))))
% 70.99/14.71 -> [3185] (left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) | left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11)))))
% 70.99/14.71
% 70.99/14.71 [3185] BETA_OR : (left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) | left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11)))))
% 70.99/14.71 -> [3191] left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71 -> [3192] left_convergent_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71
% 70.99/14.71 [3191] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3198] ~(left_apart_point(A51_65_14, L52_65_14) | left_apart_point(A51_65_14, reverse_line(L52_65_14)))
% 70.99/14.71
% 70.99/14.71 [3198] ALPHA_NOT_OR : ~(left_apart_point(A51_65_14, L52_65_14) | left_apart_point(A51_65_14, reverse_line(L52_65_14)))
% 70.99/14.71 -> [3200] ~left_apart_point(A51_65_14, L52_65_14), ~left_apart_point(A51_65_14, reverse_line(L52_65_14))
% 70.99/14.71
% 70.99/14.71 [3200] CLOSURE : ~left_apart_point(A51_65_14, L52_65_14)
% 70.99/14.71
% 70.99/14.71 [3192] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3199] ~(left_apart_point(A51_66_14, L52_66_14) | left_apart_point(A51_66_14, reverse_line(L52_66_14)))
% 70.99/14.71
% 70.99/14.71 [3199] ALPHA_NOT_OR : ~(left_apart_point(A51_66_14, L52_66_14) | left_apart_point(A51_66_14, reverse_line(L52_66_14)))
% 70.99/14.71 -> [3201] ~left_apart_point(A51_66_14, L52_66_14), ~left_apart_point(A51_66_14, reverse_line(L52_66_14))
% 70.99/14.71
% 70.99/14.71 [3201] CLOSURE : ~left_apart_point(A51_66_14, L52_66_14)
% 70.99/14.71
% 70.99/14.71 [3184] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11)))))
% 70.99/14.71 -> [3188] ~unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71 -> [3189] ~unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71
% 70.99/14.71 [3188] CLOSURE : ~unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3189] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3215] ~(left_apart_point(A51_67_14, L52_67_14) | left_apart_point(A51_67_14, reverse_line(L52_67_14)))
% 70.99/14.71
% 70.99/14.71 [3215] ALPHA_NOT_OR : ~(left_apart_point(A51_67_14, L52_67_14) | left_apart_point(A51_67_14, reverse_line(L52_67_14)))
% 70.99/14.71 -> [3216] ~left_apart_point(A51_67_14, L52_67_14), ~left_apart_point(A51_67_14, reverse_line(L52_67_14))
% 70.99/14.71
% 70.99/14.71 [3216] CLOSURE : ~left_apart_point(A51_67_14, L52_67_14)
% 70.99/14.71
% 70.99/14.71 [3132] BETA_OR : ((unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))) | (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))))
% 70.99/14.71 -> [3237] (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3238] (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71
% 70.99/14.71 [3237] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3250] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)), unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3250] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3238] ALPHA_AND : (unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)) & unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11))))
% 70.99/14.71 -> [3243] unequally_directed_lines(reverse_line(N46_53_11), reverse_line(N46_53_11)), unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [3243] CLOSURE : unequally_directed_lines(reverse_line(N46_53_11), reverse_line(reverse_line(N46_53_11)))
% 70.99/14.71
% 70.99/14.71 [2077] GAMMA_FORALL : ! [X14_14, Y15_15] : ((equally_directed_lines(X14_14, Y15_15) <=> ~unequally_directed_lines(X14_14, Y15_15)))
% 70.99/14.71 -> [2083] (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [2083] BETA_EQUIV : (equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) <=> ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [2087] ~equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [2088] equally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [2087] ALPHA_NOT_NOT : ~~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [2092] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [2092] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [2102] BETA_EQUIV : (equally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))) <=> ~unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3162] ~equally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))), ~~unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71 -> [3163] equally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))), ~unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [3162] ALPHA_NOT_NOT : ~~unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71 -> [3170] unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [3170] CLOSURE : unequally_directed_opposite_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [3174] BETA_IMPLY : (distinct_points(skolem_A8989, skolem_B9090) => (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989)))
% 70.99/14.71 -> [3720] ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71 -> [3721] (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989))
% 70.99/14.71
% 70.99/14.71 [3720] CLOSURE : ~distinct_points(skolem_A8989, skolem_B9090)
% 70.99/14.71
% 70.99/14.71 [3721] BETA_OR : (distinct_points(skolem_A8989, skolem_A8989) | distinct_points(skolem_B9090, skolem_A8989))
% 70.99/14.71 -> [3726] distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71 -> [3727] distinct_points(skolem_B9090, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [3726] CLOSURE : distinct_points(skolem_A8989, skolem_A8989)
% 70.99/14.71
% 70.99/14.71 [3727] GAMMA_FORALL : ! [L36_36] : (~distinct_lines(L36_36, L36_36))
% 70.99/14.71 -> [3735] ~distinct_lines(N39_36_8, N39_36_8)
% 70.99/14.71
% 70.99/14.71 [3735] GAMMA_FORALL : ! [L37_37, M38_38, N39_39] : ((distinct_lines(L37_37, M38_38) => (distinct_lines(L37_37, N39_39) | distinct_lines(M38_38, N39_39))))
% 70.99/14.71 -> [3736] (distinct_lines(N39_36_8, N39_36_8) => (distinct_lines(N39_36_8, N39_36_8) | distinct_lines(N39_36_8, N39_36_8)))
% 70.99/14.71
% 70.99/14.71 [3736] BETA_IMPLY : (distinct_lines(N39_36_8, N39_36_8) => (distinct_lines(N39_36_8, N39_36_8) | distinct_lines(N39_36_8, N39_36_8)))
% 70.99/14.71 -> [3737] ~distinct_lines(N39_36_8, N39_36_8)
% 70.99/14.71 -> [3738] (distinct_lines(N39_36_8, N39_36_8) | distinct_lines(N39_36_8, N39_36_8))
% 70.99/14.71
% 70.99/14.71 [3738] BETA_OR : (distinct_lines(N39_36_8, N39_36_8) | distinct_lines(N39_36_8, N39_36_8))
% 70.99/14.71 -> [3739] distinct_lines(N39_36_8, N39_36_8)
% 70.99/14.71 -> [3740] distinct_lines(N39_36_8, N39_36_8)
% 70.99/14.71
% 70.99/14.71 [3740] CLOSURE : distinct_lines(N39_36_8, N39_36_8)
% 70.99/14.71
% 70.99/14.71 [3739] CLOSURE : distinct_lines(N39_36_8, N39_36_8)
% 70.99/14.71
% 70.99/14.71 [3744] BETA_IMPLY : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) => (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71 -> [3937] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3938] (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [3938] BETA_OR : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [3939] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3940] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3940] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3939] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3941] BETA_IMPLY : ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))) => ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))) | (unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))))
% 70.99/14.71 -> [3966] ~(unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))))
% 70.99/14.71 -> [3967] ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))) | (unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))))
% 70.99/14.71
% 70.99/14.71 [3966] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))))
% 70.99/14.71 -> [3968] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [3969] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71
% 70.99/14.71 [3968] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 70.99/14.71 -> [3974] (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71
% 70.99/14.71 [3974] BETA_OR : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71 -> [3976] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3977] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [3976] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3977] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [3975] BETA_OR : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [3980] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71 -> [3981] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3981] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3980] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 70.99/14.71 -> [3982] ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))) => (left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) | left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [3982] BETA_IMPLY : ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))) => (left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) | left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71 -> [3983] ~(unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3984] (left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) | left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71
% 70.99/14.71 [3983] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3985] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2))
% 70.99/14.71 -> [3986] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [3986] CLOSURE : ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [3985] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3990] ~(left_apart_point(A51_123_14, L52_123_14) | left_apart_point(A51_123_14, reverse_line(L52_123_14)))
% 70.99/14.71
% 70.99/14.71 [3990] ALPHA_NOT_OR : ~(left_apart_point(A51_123_14, L52_123_14) | left_apart_point(A51_123_14, reverse_line(L52_123_14)))
% 70.99/14.71 -> [3992] ~left_apart_point(A51_123_14, L52_123_14), ~left_apart_point(A51_123_14, reverse_line(L52_123_14))
% 70.99/14.71
% 70.99/14.71 [3992] CLOSURE : ~left_apart_point(A51_123_14, L52_123_14)
% 70.99/14.71
% 70.99/14.71 [3984] BETA_OR : (left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2)) | left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2))))
% 70.99/14.71 -> [3993] left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2))
% 70.99/14.71 -> [3994] left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(Y13_5_2)))
% 70.99/14.71
% 70.99/14.71 [3993] CLOSURE : left_convergent_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(Y13_5_2))
% 70.99/14.71
% 70.99/14.71 [3994] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.71 -> [3995] ~(left_apart_point(A51_124_14, L52_124_14) | left_apart_point(A51_124_14, reverse_line(L52_124_14)))
% 70.99/14.71
% 70.99/14.71 [3995] ALPHA_NOT_OR : ~(left_apart_point(A51_124_14, L52_124_14) | left_apart_point(A51_124_14, reverse_line(L52_124_14)))
% 70.99/14.71 -> [3996] ~left_apart_point(A51_124_14, L52_124_14), ~left_apart_point(A51_124_14, reverse_line(L52_124_14))
% 70.99/14.71
% 70.99/14.71 [3996] CLOSURE : ~left_apart_point(A51_124_14, L52_124_14)
% 70.99/14.71
% 70.99/14.71 [3967] BETA_OR : ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))) | (unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))))
% 70.99/14.71 -> [3997] (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71 -> [3998] (unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71
% 70.99/14.71 [3997] ALPHA_AND : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71 -> [3999] unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [3999] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(Y13_5_2))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [3998] ALPHA_AND : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13)))), reverse_line(reverse_line(reverse_line(Y13_5_2)))) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13)))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2))))))
% 70.99/14.71 -> [4000] unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13)))), reverse_line(reverse_line(reverse_line(Y13_5_2)))), unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13)))), reverse_line(reverse_line(reverse_line(reverse_line(Y13_5_2)))))
% 70.99/14.71
% 70.99/14.71 [4000] GAMMA_FORALL : ! [L47_47, M48_48] : ((unequally_directed_lines(L47_47, M48_48) | unequally_directed_lines(L47_47, reverse_line(M48_48))))
% 70.99/14.71 -> [4001] (unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(M50_47_13)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13))))))
% 70.99/14.72
% 70.99/14.72 [4001] BETA_OR : (unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(M50_47_13)))) | unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13))))))
% 70.99/14.72 -> [4002] unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(M50_47_13))))
% 70.99/14.72 -> [4003] unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(reverse_line(M50_47_13)))))
% 70.99/14.72
% 70.99/14.72 [4002] CLOSURE : unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(reverse_line(reverse_line(M50_47_13))))
% 70.99/14.72
% 70.99/14.72 [4003] GAMMA_FORALL : ! [L49_49, M50_50] : (((unequally_directed_lines(L49_49, M50_50) & unequally_directed_lines(L49_49, reverse_line(M50_50))) => (left_convergent_lines(L49_49, M50_50) | left_convergent_lines(L49_49, reverse_line(M50_50)))))
% 70.99/14.72 -> [4004] ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))) => (left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) | left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))))
% 70.99/14.72
% 70.99/14.72 [4004] BETA_IMPLY : ((unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))) => (left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) | left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))))
% 70.99/14.72 -> [4005] ~(unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13)))
% 70.99/14.72 -> [4006] (left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) | left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13)))
% 70.99/14.72
% 70.99/14.72 [4006] BETA_OR : (left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) | left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13)))
% 70.99/14.72 -> [4009] left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13)
% 70.99/14.72 -> [4010] left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))
% 70.99/14.72
% 70.99/14.72 [4010] CLOSURE : left_convergent_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))
% 70.99/14.72
% 70.99/14.72 [4009] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.72 -> [4011] ~(left_apart_point(A51_125_14, L52_125_14) | left_apart_point(A51_125_14, reverse_line(L52_125_14)))
% 70.99/14.72
% 70.99/14.72 [4011] ALPHA_NOT_OR : ~(left_apart_point(A51_125_14, L52_125_14) | left_apart_point(A51_125_14, reverse_line(L52_125_14)))
% 70.99/14.72 -> [4012] ~left_apart_point(A51_125_14, L52_125_14), ~left_apart_point(A51_125_14, reverse_line(L52_125_14))
% 70.99/14.72
% 70.99/14.72 [4012] CLOSURE : ~left_apart_point(A51_125_14, L52_125_14)
% 70.99/14.72
% 70.99/14.72 [4005] BETA_NOT_AND : ~(unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13) & unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13)))
% 70.99/14.72 -> [4013] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), M50_47_13)
% 70.99/14.72 -> [4014] ~unequally_directed_lines(reverse_line(reverse_line(reverse_line(M50_47_13))), reverse_line(M50_47_13))
% 70.99/14.72
% 70.99/14.72 [4013] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.72 -> [4015] ~(left_apart_point(A51_126_14, L52_126_14) | left_apart_point(A51_126_14, reverse_line(L52_126_14)))
% 70.99/14.72
% 70.99/14.72 [4015] ALPHA_NOT_OR : ~(left_apart_point(A51_126_14, L52_126_14) | left_apart_point(A51_126_14, reverse_line(L52_126_14)))
% 70.99/14.72 -> [4017] ~left_apart_point(A51_126_14, L52_126_14), ~left_apart_point(A51_126_14, reverse_line(L52_126_14))
% 70.99/14.72
% 70.99/14.72 [4017] CLOSURE : ~left_apart_point(A51_126_14, L52_126_14)
% 70.99/14.72
% 70.99/14.72 [4014] GAMMA_FORALL : ! [A51_51, L52_52] : (~(left_apart_point(A51_51, L52_52) | left_apart_point(A51_51, reverse_line(L52_52))))
% 70.99/14.72 -> [4016] ~(left_apart_point(A51_127_14, L52_127_14) | left_apart_point(A51_127_14, reverse_line(L52_127_14)))
% 70.99/14.72
% 70.99/14.72 [4016] ALPHA_NOT_OR : ~(left_apart_point(A51_127_14, L52_127_14) | left_apart_point(A51_127_14, reverse_line(L52_127_14)))
% 70.99/14.72 -> [4018] ~left_apart_point(A51_127_14, L52_127_14), ~left_apart_point(A51_127_14, reverse_line(L52_127_14))
% 70.99/14.72
% 70.99/14.72 [4018] CLOSURE : ~left_apart_point(A51_127_14, L52_127_14)
% 70.99/14.72
% 70.99/14.72 % SZS output end Proof for theBenchmark.p
% 70.99/14.72 [14.375906s][1][Res] 193900 goroutines created
% 70.99/14.72 ==== Result ====
% 70.99/14.72 [14.375947s][1][Res] VALID
% 70.99/14.72 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------